Geodesic
Markov Properties of Burnside Varieties of Semigroups
Algebra i logika, Tome 42 (2003) no. 1, pp. 94-106

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that every Markov property of semigroups finitely presented in a variety given by the identity $x^{r_1}=x^{r_2}$, where $r_1>r_2\geqslant 2$, which a one-element semigroup enjoys, is algorithmically non-recognizable.
Keywords: Burnside variety of semigroups, Markov property, finitely presented semigroup, algorithmic non-recognizability of properties. 
@article{AL_2003_42_1_a5,
     author = {V. Yu. Popov},
     title = {Markov {Properties} of {Burnside} {Varieties} of {Semigroups}},
     journal = {Algebra i logika},
     pages = {94--106},
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     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2003_42_1_a5/}
}
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V. Yu. Popov. Markov Properties of Burnside Varieties of Semigroups. Algebra i logika, Tome 42 (2003) no. 1, pp. 94-106. http://geodesic.mathdoc.fr/item/AL_2003_42_1_a5/